Starting with polynomial:
P : 512*t^9 - 1024*t^7 + 672*t^5 - 160*t^3 + 10*t
Extension levels are: 9
-------------------------------------------------
Ending with final polynomial:
P : 512*t^9 - 1024*t^7 + 672*t^5 - 160*t^3 + 10*t
-------------------------------------------------
Computing nodes and weights
  current precision for roots: 53
  current precision for roots: 106
 current precision for weights: 53
Linear system for weights solvable: 1
  current precision for roots: 106
  current precision for roots: 212
 current precision for weights: 106
Linear system for weights solvable: 1
Sufficient bits for target precision reached
Positive weights:   9 out of 9
Indefinite weights: 0 out of 9
Negative weights:   0 out of 9
Extension rule has valid weights: 1
-------------------------------------------------
The nodes are:
| (0.95105651629515357212 + 5.299469827377980908e-169j)  +/-  (3.33e-62, 3.33e-62j)
| (-0.58778525229247312917 + 1.324867456844495227e-169j)  +/-  (1.79e-62, 1.79e-62j)
| (-0.95105651629515357212 - 1.5809074315074919812e-178j)  +/-  (4.4e-62, 4.4e-62j)
| (0.3090169943749474241 + 2.8728483499322940323e-188j)  +/-  (3.46e-63, 3.46e-63j)
| (0.8090169943749474241 - 6.5321008831513018601e-201j)  +/-  (4.13e-62, 4.13e-62j)
| (0.58778525229247312917 + 5.9409111446723744485e-213j)  +/-  (1.79e-62, 1.79e-62j)
| (-1.4504177599297789181e-216 - 1.8130221999122236476e-217j)  +/-  (1.32e-215, 1.32e-215j)
| (-0.8090169943749474241 - 7.0821179684071236235e-220j)  +/-  (4.01e-62, 4.01e-62j)
| (-0.3090169943749474241 + 0j)  +/-  (3.46e-63, 3.46e-63j)
-------------------------------------------------
The weights are:
| (0.0095491502812526287949 - 7.4779294575573139878e-170j)  +/-  (1.51e-25, 5.26e-56j)
| (0.065450849718747371205 - 1.0858928205333516645e-170j)  +/-  (6.13e-26, 2.13e-56j)
| (0.0095491502812526287949 - 6.1431053287447903774e-171j)  +/-  (3.11e-26, 1.08e-56j)
| (0.090450849718747371205 + 6.1296675760562513259e-170j)  +/-  (2.62e-26, 9.11e-57j)
| (0.034549150281252628795 + 1.2562528984155116603e-169j)  +/-  (9.48e-27, 3.31e-57j)
| (0.065450849718747371205 - 8.8104628084697396562e-170j)  +/-  (1.17e-26, 4.07e-57j)
| (0.1 - 3.3181931873925397489e-170j)  +/-  (7.09e-27, 2.46e-57j)
| (0.034549150281252628795 + 3.1092619536899008072e-170j)  +/-  (1.12e-27, 4.15e-58j)
| (0.090450849718747371205 - 4.9466970707384464078e-171j)  +/-  (3.23e-27, 1.08e-57j)
